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For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of these scales on the list will be used.

Objects Scale
a. A person * 1 in 1ft
b. a football field (120 yards by 53 1/3 yards) *1 cm: 1m
c.the state of Washington (about 240 miles by 360 miles) *1:1000
d.the floor plan of a house *1ft: 1 mile
e. a rectangle farm (6 miles by 2 miles) * 1: 100,000
* 1mm: 1km
* 1: 10,000,000

Sagot :

Scale ratio simply means the ratio that makes quantities to be in proportion.

The objects and scales are:

  1. A person:- 1 in : 1ft
  2. A football field:- 1: 1000
  3. The state of Washington:- 1: 10,000,000
  4. The floor plan of a house:- 1 cm : 1 m
  5. A rectangle farm: 1 : 100,000

To determine the scale ratio of the object, we simply make use of the closest dimension that represents the object

Person

In all the given scale, a person's height is most appropriately in inches and feet.

So, the scale ratio would be 1 in : 1ft

Football field

The dimension of the field is given as: 120 yard by 53 1/3 yards.

Because the length and width of the field are given (and they make use of the same unit), the scale ratio must be unit-less

The unit-less scale ratios are 1:1000, 1:100000 and 1:10000000

Of all these, 1:1000 is the most appropriate, because it is the smallest, and a football field is smaller than the state of Washington and a rectangular farm.

State of Washington

The dimension of the state is given as: 240 miles by 360 miles

Using the same illustration as the football field, the scale ratio must be unit-less

The remaining unit-less scale ratios are 1:100000 and 1:10000000

Of these two, 1:10,000,000 is the most appropriate, the state of Washington is bigger than a rectangular farm.

This also means that, the scale ratio of the rectangular farm would be 1:100,000

Floor plan of a house

In all the given scale, the floor plan is most appropriately in centimeters and meters.

So, the scale ratio would be 1 cm : 1 m

Read more about scale ratios at:

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